# Stored data for abelian variety isogeny class 2.23.d_an, downloaded from the LMFDB on 16 April 2026.
{"abvar_count": 589, "abvar_counts": [589, 262105, 152361931, 78423126525, 41453483855344, 21912692154610345, 11592428641981587751, 6132586014128605317525, 3244147422026905366972969, 1716156532548867754615072000], "abvar_counts_str": "589 262105 152361931 78423126525 41453483855344 21912692154610345 11592428641981587751 6132586014128605317525 3244147422026905366972969 1716156532548867754615072000 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.270744379229922, 0.924942204553358], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 27, "curve_counts": [27, 495, 12519, 280243, 6440532, 148022835, 3404705709, 78310673683, 1801150724997, 41426528140350], "curve_counts_str": "27 495 12519 280243 6440532 148022835 3404705709 78310673683 1801150724997 41426528140350 ", "curves": ["y^2=3*x^6+5*x^5+2*x^4+18*x^3+3*x^2+7*x+4", "y^2=x^6+14*x^5+20*x^4+18*x^3+9*x+21", "y^2=2*x^6+x^5+7*x^4+15*x^3+13*x^2+20*x+4", "y^2=3*x^6+12*x^5+5*x^4+14*x^3+7*x^2+7*x+5", "y^2=8*x^6+6*x^5+18*x^4+9*x^3+12*x^2+3*x+12", "y^2=18*x^6+5*x^5+11*x^4+18*x^3+8*x^2+9*x+4", "y^2=x^6+5*x^5+10*x^4+x^3+x^2+9*x+4", "y^2=13*x^6+21*x^5+15*x^4+8*x^3+8*x^2+7*x+4", "y^2=5*x^6+10*x^5+20*x^4+22*x^3+15*x^2+4*x+9", "y^2=6*x^5+20*x^4+11*x^3+7*x^2+16*x+13", "y^2=8*x^6+16*x^5+8*x^4+21*x^3+19*x^2+12*x+4", "y^2=13*x^6+5*x^5+19*x^4+10*x^3+4*x^2+2", "y^2=13*x^6+12*x^5+x^4+7*x^3+10*x^2+14*x+21", "y^2=17*x^6+9*x^5+21*x^4+6*x^3+6*x^2+8*x"], "dim1_distinct": 0, "dim1_factors": 0, "dim2_distinct": 1, "dim2_factors": 1, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "endomorphism_ring_count": 2, "g": 2, "galois_groups": ["4T3"], "geom_dim1_distinct": 0, "geom_dim1_factors": 0, "geom_dim2_distinct": 1, "geom_dim2_factors": 1, "geom_dim3_distinct": 0, "geom_dim3_factors": 0, "geom_dim4_distinct": 0, "geom_dim4_factors": 0, "geom_dim5_distinct": 0, "geom_dim5_factors": 0, "geometric_center_dim": 4, "geometric_extension_degree": 1, "geometric_galois_groups": ["4T3"], "geometric_number_fields": ["4.0.6525.1"], "geometric_splitting_field": "4.0.6525.1", "geometric_splitting_polynomials": [[19, -2, 8, -1, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 14, "is_cyclic": true, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 14, "label": "2.23.d_an", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.6525.1"], "p": 23, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 3, -13, 69, 529], "poly_str": "1 3 -13 69 529 ", "primitive_models": [], "q": 23, "real_poly": [1, 3, -59], "simple_distinct": ["2.23.d_an"], "simple_factors": ["2.23.d_anA"], "simple_multiplicities": [1], "singular_primes": ["7,9*F^2+3*F+28*V+60"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.6525.1", "splitting_polynomials": [[19, -2, 8, -1, 1]], "twist_count": 2, "twists": [["2.23.ad_an", "2.529.abj_bfh", 2]], "weak_equivalence_count": 2, "zfv_index": 49, "zfv_index_factorization": [[7, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 7, "zfv_plus_index_factorization": [[7, 1]], "zfv_plus_norm": 261, "zfv_singular_count": 2, "zfv_singular_primes": ["7,9*F^2+3*F+28*V+60"]}